1.

The sum of the first three numbers in an Arithmetic Progression is 18. Ifthe product of the first and the third term is 5 times the commondifference, find the three numbers

Answer»

the three numbers are a+d, a, a-d

question is sum of first three numbers is 18

so a+d+a+a-d=18d and -d will be cancelledso a+a+a=183a=18a=18/3a=6 product of frist and third term is 5times common differenceso (a+d)(a-d)=5dso a^2-d^2=5d here a=66^2-d^2=5d36-d^2=5d-d^2/d=5-36-d= -31d=31so the numbers are a+d =6=31=36a-d=6-31= -25a=6



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